Definition check: The property that one binary step change at a DAC input should yield exactly one output step, without reversals or missing codes, is called ________.

Difficulty: Easy

Correct Answer: monotonicity

Explanation:


Introduction / Context:
Among DAC specifications, monotonicity is crucial for control applications and smooth waveform generation. It guarantees that as the input code increments by one, the output never decreases and advances by one quantization step at a time without inversions.


Given Data / Assumptions:

  • Discrete output levels separated by the LSB step.
  • Input codes change in single-step increments.
  • No transient behavior (glitch impulse) considered in the static definition.


Concept / Approach:
Monotonicity means nondecreasing static transfer function versus input code. It prevents step reversals that could destabilize feedback systems. While resolution defines the size of steps, linearity (INL/DNL) measures closeness to an ideal line and step uniformity; accuracy aggregates gain/offset/linearity against absolute references. The term that matches the “one step in → one step out” behavior is monotonicity (often tied to DNL ≤ 1 LSB).


Step-by-Step Solution:

Identify required behavior: no step reversals or missing codes on single-code increments.Map to spec: this is monotonicity (static property).Differentiate from resolution (step size magnitude) and linearity (shape error).Select the correct term: monotonicity.


Verification / Alternative check:
Datasheets often state “Guaranteed monotonic to n bits” which ensures no reversals; this aligns with the described behavior.


Why Other Options Are Wrong:

linearity: concerns deviation from a straight line, not strictly step order.accuracy: umbrella term including gain/offset/INL; not specific to step behavior.resolution: LSB size, not step order correctness.


Common Pitfalls:
Equating missing codes with nonmonotonicity (related but distinct); ignoring that good DNL typically guarantees monotonicity.


Final Answer:
monotonicity

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